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Simplifying 3a + 4b + -8(4a + -5b) = 0 3a + 4b + (4a * -8 + -5b * -8) = 0 3a + 4b + (-32a + 40b) = 0 Reorder the terms: 3a + -32a + 4b + 40b = 0 Combine like terms: 3a + -32a = -29a -29a + 4b + 40b = 0 Combine like terms: 4b + 40b = 44b -29a + 44b = 0 Solving -29a + 44b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-44b' to each side of the equation. -29a + 44b + -44b = 0 + -44b Combine like terms: 44b + -44b = 0 -29a + 0 = 0 + -44b -29a = 0 + -44b Remove the zero: -29a = -44b Divide each side by '-29'. a = 1.517241379b Simplifying a = 1.517241379b
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